Formulas for Approximate Calculation of the Chebyshev Coefficients
Kudaibergenov S.S. Nurmoldin Y.Y. Nauryzbayev N.Z. Temirgaliyev N.
February 2021Pleiades journals
Russian Mathematics
2021#65Issue 269 - 74 pp.
The approximate calculation of integrals is a common part of research in various fields of mathematics, primarily in the theory of approximations and computational mathematics. In its turn, within the theory of numerical integration, distinctions take place depending on the features of the integrand, the scale of which is “Quadrature (cubature) formulas” and “Theory of oscillations”. This article belongs to the second type of problems and consists in the approximate calculation of the Chebyshev coefficients.
Chebyshev system , highly oscillatory integral , quadrature formula , tensor product of functionals
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L.N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008, Kazakhstan
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